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Finding the Fourth Proportional to 628.01, 942.11 and 195.06

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Solution

The fourth proportional to 628.01, 942.11 and 195.06 is: 292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.01 : 942.11 = 195.06 : x
  2. Step 2: Convert to fraction form
    628.01/942.11 = 195.06/x
  3. Step 3: Cross multiply
    628.01x = 942.11 × 195.06
  4. Step 4: Simplify right side
    628.01x = 183,767.98
  5. Step 5: Solve for x
    x = 183,767.98/628.01
  6. Step 6: Final answer
    x = 292.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.